Equivalence classes of block Jacobi matrices

Mathematics – Spectral Theory

Scientific paper

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Scientific paper

The paper contains two results on the equivalence classes of block Jacobi
matrices: first, that the Jacobi matrix of type 2 in the Nevai class has A_n
coefficients converging to 1, and second, that under an L1-type condition on
the Jacobi coefficients, equivalent Jacobi matrices of type 1, 2 and 3 are
pairwise asymptotic.

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